Solve the problem.The radius of a right circular cylinder is increasing at the rate of 
, while the height is decreasing at the rate of 
. At what rate is the volume of the cylinder changing when the radius is 11 in. and the height is 19 in.?
A. 1848? in.3/s
B. 1848 in.3/s
C. -358 in.3/s
D. 3938? in.3/s
Answer: D
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Find the area under the curve of the function on the stated interval. Do so by dividing the interval into n equal subintervals and finding the area of the corresponding circumscribed polygon.f(x) = 2x2 + x + 3 from x = -2 to x = 1; n = 3
A. 25 B. 13 C. 21 D. 17
Solve the problem.An equilateral triangle has perimeter 33 inches. What would be the perimeter of a square whose sides each measure the same length as the side of the triangle?
A. 121 inches B. 44 inches C. 11 inches D. 22 inches
Determine the center, foci, and vertices of the ellipse.
+ 
= 1
A. center at (2, -3)
foci at (2 + 
, -3), (2 - 
, -3)
vertices at (-9, 2), (3, 2)
B. center at (-3, 2)
foci at (-3 + 
, -3), (-3 - 
, -3)
vertices at (6, 2), (-6, 2)
C. center at (-3, 2)
foci at (- 
, 2), (
, 2)
vertices at (6, 2), (-6, 2)
D. center at (-3, 2)
foci at (-3 + 
, 2), (-3 - 
, 2)
vertices at (-9, 2), (3, 2)
Introduce slack variables as necessary and write the initial simplex tableau for the problem.Maximize z = 4x1 + x2 subject to: 2x1 + 5x2 ? 11 3x1 + 3x2 ? 19 x1 ? 0, x2 ? 0 
A. 
B. 
C. 
D. 
